Details

Time bar (total: 3.4s)

sample16.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 5 (19.0ms)

IterNodesCost
02017
14617
212817
334017
466217
589715
6117915
7175315
8500115

prune8.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
0.0b
(+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
78×add-exp-log add-cbrt-cube
57×*-un-lft-identity
49×times-frac
33×add-sqr-sqrt
30×prod-exp cbrt-unprod
29×add-cube-cbrt
25×cbrt-undiv div-exp
24×swap-sqr
20×associate-*r* associate-*l*
18×pow1 associate-/r/
12×distribute-lft-out
11×flip3-+ flip-+
9×div-inv
6×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×fma-def associate-/r* associate-/l*
2×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up associate-/l/ unswap-sqr
1×+-commutative frac-2neg clear-num sum-log
Counts
4 → 187
Calls
4 calls:
7.0ms
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
4.0ms
(+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
15.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
15.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series280.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
53.0ms
(+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
47.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
53.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify97.0ms

Algorithm
egg-herbie
Counts
199 → 199
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
06482346
132461881
250011831

prune289.0ms

Filtered
199 candidates to 127 candidates (63.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1963199
Fresh000
Picked011
Done000
Total1964200

Merged error: 0b

Counts
200 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(expm1 (log1p (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.5b
(log1p (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log add-cbrt-cube
48×*-un-lft-identity
40×times-frac
30×prod-exp cbrt-unprod
24×cbrt-undiv add-sqr-sqrt swap-sqr div-exp
20×add-cube-cbrt associate-*r* associate-*l*
18×pow1
16×associate-/r/
12×distribute-lft-out
8×flip3-+ flip-+ div-inv
5×expm1-log1p-u
4×log1p-expm1-u add-log-exp
2×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up unswap-sqr
1×log1p-udef expm1-log1p log1p-expm1 expm1-udef
Counts
4 → 160
Calls
4 calls:
1.0ms
(expm1 (log1p (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))
19.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
15.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
1.0ms
(log1p (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

series389.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(expm1 (log1p (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))
50.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
54.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
118.0ms
(log1p (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

simplify81.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05351660
126741280
250011202

prune288.0ms

Filtered
172 candidates to 101 candidates (58.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1720172
Fresh022
Picked011
Done011
Total1724176

Merged error: 0b

Counts
176 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (/ (* 2.0 t) (+ 1.0 t)))
0.0b
(+ 2.0 (pow (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4) 1))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.6b
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
40×add-cbrt-cube
39×*-un-lft-identity
28×times-frac
22×add-sqr-sqrt
20×sqrt-prod
19×add-cube-cbrt
15×prod-exp cbrt-unprod
14×pow1
13×unpow-prod-down
12×cbrt-undiv swap-sqr div-exp associate-/r/
10×associate-*r* associate-*l*
9×distribute-lft-out
7×flip3-+ flip-+
6×div-inv add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×pow-unpow pow-pow fma-def
2×sqrt-pow1 pow1/2
1×+-commutative pow2 frac-times pow-to-exp rem-sqrt-square pow-plus sqrt-div associate-*r/ pow-prod-down associate-*l/ pow-exp sum-log pow-sqr *-commutative pow-prod-up sqrt-pow2 unswap-sqr sqr-pow
Counts
4 → 141
Calls
4 calls:
9.0ms
(sqrt (/ (* 2.0 t) (+ 1.0 t)))
12.0ms
(+ 2.0 (pow (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4) 1))
15.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
7.0ms
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)

series489.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(sqrt (/ (* 2.0 t) (+ 1.0 t)))
138.0ms
(+ 2.0 (pow (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4) 1))
53.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
199.0ms
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)

simplify113.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
08501269
140441031
250021007

prune330.0ms

Filtered
153 candidates to 104 candidates (68.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1530153
Fresh011
Picked011
Done022
Total1534157

Merged error: 0b

Counts
157 → 4

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (pow t 3))
6.8b
(fma (pow t 2) 1.0 (- 0.5 (* 2.0 (pow t 3))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
7×add-exp-log
6×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down cube-prod add-cbrt-cube unswap-sqr
3×associate-*l* prod-exp
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
1×cube-mult pow-to-exp unpow3 pow-exp *-commutative cbrt-unprod fma-udef
Counts
2 → 43
Calls
2 calls:
6.0ms
(* 2.0 (pow t 3))
1.0ms
(fma (pow t 2) 1.0 (- 0.5 (* 2.0 (pow t 3))))

series81.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* 2.0 (pow t 3))
38.0ms
(fma (pow t 2) 1.0 (- 0.5 (* 2.0 (pow t 3))))

simplify202.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (197.0ms)

IterNodesCost
0149213
1622188
24379187
35001184

prune85.0ms

Filtered
49 candidates to 33 candidates (67.3%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New49049
Fresh000
Picked011
Done033
Total49453

Merged error: 0b

Counts
53 → 4

regimes66.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01417
11417

end0.0ms

sample366.0ms

Algorithm
intervals
Results
278.0ms8000×body80valid